A simple pendulum (of length L) is suspended from the ceiling of a car. If the car were to accelerate, with a uniform acceleration a (a < g) on a horizontal road, the time period, of the pendulum, within the car, would be

A rod of mass M and length L is pivoted about its one end. It is displaced slightly from its equilibrium position an ‘let–go’. The period, of its SH oscillations, is given by

A uniform meter rod, of mass 100 g, is suspended through its midpoint. If it is displaced slightly from its equilibrium position and ‘let–go ’, the time period, of its oscillations, would be (nearly)

A block, of mass M, is attached to a spring of spring constant 2.45 N/m. When the block is displaced through a distance of 16 cm from its equilibrium position, and let–go, it has a velocity of 56 m/s at its mean position. The mass M is

The maximum speed of a particle executing SHM is 1 m/s and maximum acceleration is 1.57 $m\mathrm{/}{s}^2\mathrm{.}m/s^2.$ Its time period is

The KE and PE of a particle, executing SHM with amplitude A, are K and U, respectively. The displacement from the mean position, where the potential energy of the body is one–fourth of its total energy is

In an oscillating block–spring system the spring constant is 2.45 N/m, the amplitude is 10 cm and the maximum speed is 56 cm/s. The mass of the block equals

A weightless spring, which has a force constant k, oscillates with frequency f when a mass m is suspended from it. The spring is cut into two halves and a mass 2m is suspended from one of the halves. The frequency of oscillation will now be

A wave is represented by the equation: $y=A\sin [10\pi x+18\pi t+(\frac{\pi }{3})]y=A\backslash sin[10\backslash pi\; x+18\backslash pi\; t+(\backslash frac\{\backslash pi\}\{3\})]$ where x is in m and t in s. The expression represents: 

A wave disturbance in a medium is described by y(x, t) = 0.02 $\cos (50\pi t+\frac{\pi }{2})\cos (10\pi x)\backslash cos(50\backslash pi\; t+\backslash frac\{\backslash pi\}\{2\})\backslash cos(10\backslash pi\; x)$ where x and y are in meters and t in seconds. For this wave: